# 12073

## 12,073 is a prime number. Like all primes greater than two, it is odd and has no factors apart from itself and one.

What does the number 12073 look like?

As a prime, it is not composed of any other numbers and has no internal structure.

12073 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 12073:

### 12073

See below for interesting mathematical facts about the number 12073 from the Numbermatics database.

### Names of 12073

• Cardinal: 12073 can be written as Twelve thousand and seventy-three.

### Scientific notation

• Scientific notation: 1.2073 × 104

### Factors of 12073

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 12073

### Divisors of 12073

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 12074
• Sum of proper divisors (its aliquot sum) s(n): 1
• 12073 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 12072

### Bases of 12073

• Binary: 101111001010012
• Base-36: 9BD

### Squares and roots of 12073

• 12073 squared (120732) is 145757329
• 12073 cubed (120733) is 1759728233017
• The square root of 12073 is 109.8772041873
• The cube root of 12073 is 22.9406155513

### Scales and comparisons

How big is 12073?
• 12,073 seconds is equal to 3 hours, 21 minutes, 13 seconds.
• To count from 1 to 12,073 would take you about three hours.

This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

• A cube with a volume of 12073 cubic inches would be around 1.9 feet tall.

### Recreational maths with 12073

• 12073 backwards is 37021
• The number of decimal digits it has is: 5
• The sum of 12073's digits is 13
• More coming soon!